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Title: Fermionic Schwinger effect and induced current in de Sitter space

Abstract

We explore Schwinger effect of spin 1/2 charged particles with static electric field in 1+3 dimensional de Sitter spacetime. We analytically calculate the vacuum expectation value of the spinor current which is induced by the produced particles in the electric field. The renormalization is performed with the adiabatic subtraction scheme. We find that the current becomes negative, namely it flows in the direction opposite to the electric field, if the electric field is weaker than a certain threshold value depending on the fermion mass, which is also known to happen in the case of scalar charged particles in 1+3 de Sitter spacetime. Contrary to the scalar case, however, the IR hyperconductivity is absent in the spinor case.

Authors:
 [1];  [2];  [3];  [1];  [2];  [4]
  1. Research Center for the Early Universe (RESCEU), Graduate School of Science,The University of Tokyo, Bunkyo-ku, Tokyo, 113-0033 (Japan)
  2. (Japan)
  3. Stanford Institute for Theoretical Physics and Department of Physics,Stanford University, Stanford, CA 94306 (United States)
  4. (Kavli IPMU),WPI, UTIAS, The University of Tokyo, Kashiwa, Chiba, 277-8583 (Japan)
Publication Date:
Sponsoring Org.:
SCOAP3, CERN, Geneva (Switzerland)
OSTI Identifier:
22572114
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2016; Journal Issue: 07; Other Information: PUBLISHER-ID: JCAP07(2016)010; OAI: oai:repo.scoap3.org:16334; cc-by Article funded by SCOAP3. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 License. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CHARGED PARTICLES; COSMOLOGICAL INFLATION; DE SITTER GROUP; DE SITTER SPACE; ELECTRIC FIELDS; EXPECTATION VALUE; FERMIONS; FOUR-DIMENSIONAL CALCULATIONS; INFLATIONARY UNIVERSE; MAGNETIC FIELDS; QUANTUM COSMOLOGY; SCALAR FIELDS; SPACE-TIME; SPIN; SPINOR FIELDS

Citation Formats

Hayashinaka, Takahiro, Department of Physics, Graduate School of Science, The University of Tokyo,Bunkyo-ku, Tokyo, 113-0033, Fujita, Tomohiro, Yokoyama, Jun’ichi, Department of Physics, Graduate School of Science, The University of Tokyo,Bunkyo-ku, Tokyo, 113-0033, and Kavli Institute for the Physics and Mathematics of the Universe. Fermionic Schwinger effect and induced current in de Sitter space. United States: N. p., 2016. Web. doi:10.1088/1475-7516/2016/07/010.
Hayashinaka, Takahiro, Department of Physics, Graduate School of Science, The University of Tokyo,Bunkyo-ku, Tokyo, 113-0033, Fujita, Tomohiro, Yokoyama, Jun’ichi, Department of Physics, Graduate School of Science, The University of Tokyo,Bunkyo-ku, Tokyo, 113-0033, & Kavli Institute for the Physics and Mathematics of the Universe. Fermionic Schwinger effect and induced current in de Sitter space. United States. doi:10.1088/1475-7516/2016/07/010.
Hayashinaka, Takahiro, Department of Physics, Graduate School of Science, The University of Tokyo,Bunkyo-ku, Tokyo, 113-0033, Fujita, Tomohiro, Yokoyama, Jun’ichi, Department of Physics, Graduate School of Science, The University of Tokyo,Bunkyo-ku, Tokyo, 113-0033, and Kavli Institute for the Physics and Mathematics of the Universe. Fri . "Fermionic Schwinger effect and induced current in de Sitter space". United States. doi:10.1088/1475-7516/2016/07/010.
@article{osti_22572114,
title = {Fermionic Schwinger effect and induced current in de Sitter space},
author = {Hayashinaka, Takahiro and Department of Physics, Graduate School of Science, The University of Tokyo,Bunkyo-ku, Tokyo, 113-0033 and Fujita, Tomohiro and Yokoyama, Jun’ichi and Department of Physics, Graduate School of Science, The University of Tokyo,Bunkyo-ku, Tokyo, 113-0033 and Kavli Institute for the Physics and Mathematics of the Universe},
abstractNote = {We explore Schwinger effect of spin 1/2 charged particles with static electric field in 1+3 dimensional de Sitter spacetime. We analytically calculate the vacuum expectation value of the spinor current which is induced by the produced particles in the electric field. The renormalization is performed with the adiabatic subtraction scheme. We find that the current becomes negative, namely it flows in the direction opposite to the electric field, if the electric field is weaker than a certain threshold value depending on the fermion mass, which is also known to happen in the case of scalar charged particles in 1+3 de Sitter spacetime. Contrary to the scalar case, however, the IR hyperconductivity is absent in the spinor case.},
doi = {10.1088/1475-7516/2016/07/010},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 07,
volume = 2016,
place = {United States},
year = {Fri Jul 08 00:00:00 EDT 2016},
month = {Fri Jul 08 00:00:00 EDT 2016}
}